Explanation Given information: The aircraft-hanger door opens and closes slowly by means of a motor. The door is made in two sections (bi fold) and each section has a uniform weight W and height L . The sections are pin connected at C and D and the bottom is attached to a roller that travels along the vertical track. Assumption: Consider the state of member as tension where the force is pulling the member and as compression where the force is pushing the member. Consider the force indicating the right side as positive and left side as negative in horizontal components of forces. Consider the force indicating upward is taken as positive and downward as negative in vertical components of forces. Consider clockwise moment as negative and anti-clock wise moment as positive wherever applicable. Apply the Equation of equilibrium wherever applicable. Segment CD : Show the free-body diagram of the segment CD as in Figure 1. Using Figure 1, Moment about point D : Determine the horizontal reaction and vertical reaction at point C by taking the moment about point D . ∑ M D = 0 − C y ( L cos θ 2 ) − C x ( L sin θ 2 ) + W cos θ 2 ( L 2 ) = 0 (I) Segment CA : Show the free-body diagram of the segment CA as in Figure 2. Moment about point A : Determine the horizontal reaction and vertical reaction at point C by taking the moment about point A . ∑ M A = 0 C y ( L cos θ 2 ) − C x ( L sin θ 2 ) + W cos θ 2 ( L 2 ) = 0 (II) Using Figure 2, Along the vertical direction: Determine the force on the cable by resolving the vertical component of forces. ∑ F y = 0 T A B − W − C y = 0 (III) Conclusion: Add Equation (I) and Equation ((II)

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ISBN: 9780132915540

Author: Russell C. Hibbeler

Publisher: Prentice Hall

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Chapter 6.6, Problem 114P

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The force in the cable as a function of the door’s position θ.

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Chapter 6.6, Problem 113P

Chapter 6.6, Problem 115P

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Chapter 6 Solutions

Engineering Mechanics: Statics

Ch. 6.3 - State if the members are in tension or...Ch. 6.3 - State if the members are in tension or...Ch. 6.3 - Prob. 3FP Ch. 6.3 - Determine the greatest load P that can be applied...Ch. 6.3 - Identify the zero-force members in the truss....Ch. 6.3 - State if the members are in tension or...Ch. 6.3 - Prob. 1P Ch. 6.3 - Prob. 2P Ch. 6.3 - Determine the force in each member of the truss,...Ch. 6.3 - Determine the force in each member of the truss,...

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The force in the cable as a function of the door’s position θ .

The force in the cable as a function of the door’s position θ.

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Chapter 6 Solutions